math is just a language
and would be useless if it didnt answer to physics
2 meters + 3 meters = 5 meters liberates the user from the computationally inefficient "if two meters is added to three meters then total measured meters is five" language of philosophy
but mathematicians strip the units shortly after physics snaps its lordly fingers and venture off to extend the language to their hearts content
inventing symbols and justifying them with "axioms" instead of testing them against the type checker of physical law forces users to spin their wheels in equal signs
for example, declaring an objects freedom without its order, and expecting people to hold algebraic rules constant across a "real" number line admitting 2 directions, requires them to conceive of the "imaginary" and "complex" after banging their heads against a "negative square"
reducing the critical points of sine to i and -i omits the tale of the extra dimension by which theyre parameterized, and the plane contained by the boundary drawn by sines derivative
teach people pi/2 and 3pi/2 instead, and replace negatives with a new physical number notation: -1 = 1@pi
now all numbers have direction, and connecting them is easy when the higher order is an axiom, and not ignored or substituted with man made "axioms"
reckoning physics in these symbols casts out the absurdity of a second possible direction in the underlying dimension, eliminates the intellectual friction posed by the "imaginary" and "complex", and leads users to higher order thought
the desire to add a symbol to a language can exceed its usefulness, and limit the capacity of the bandwagon that embraces it
what matters now is measuring a symbols place within the physical dimensions of scalability, and protecting peoples time from entropys stench
denying the foundation & purpose of math to keep up appearances & funding will continue only as long as the economy is withheld from measuring the connection between information & action
as math seduces steps between man made data types in the wheel of identity, cramming equal signs between their inconsistent symbols in a manual runtime will soon be measured as a waste if it doesnt reduce complexity
best to regard mathematicians as the first information scientists now merging into computation science
if their scribbles arent describing something physical, chances are theyre trapping themselves and luring others into a hamster wheel